5(2m+3)-3(4-m)=

Solution for 5(2m+3)-3(4-m)= equation:

Simplifying
5(2m + 3) + -3(4 + -1m) = 0

Reorder the terms:
5(3 + 2m) + -3(4 + -1m) = 0
(3 * 5 + 2m * 5) + -3(4 + -1m) = 0
(15 + 10m) + -3(4 + -1m) = 0
15 + 10m + (4 * -3 + -1m * -3) = 0
15 + 10m + (-12 + 3m) = 0

Reorder the terms:
15 + -12 + 10m + 3m = 0

Combine like terms: 15 + -12 = 3
3 + 10m + 3m = 0

Combine like terms: 10m + 3m = 13m
3 + 13m = 0

Solving
3 + 13m = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 13m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 13m = 0 + -3
13m = 0 + -3

Combine like terms: 0 + -3 = -3
13m = -3

Divide each side by '13'.
m = -0.2307692308

Simplifying
m = -0.2307692308